Can Riemann sum negative?
RIEMANN SUMS AND DEFINITE INTEGRALS Riemann sums may contain negative values (below the x-axis) as well as positive values (above the x-axis), and zero.Click to see full answer. Keeping this in view, can you get a negative area?When you are integrating a function it is often said you are finding the area under the function….
RIEMANN SUMS AND DEFINITE INTEGRALS Riemann sums may contain negative values (below the x-axis) as well as positive values (above the x-axis), and zero.Click to see full answer. Keeping this in view, can you get a negative area?When you are integrating a function it is often said you are finding the area under the function. When the function dips below the x-axis the area bounded is above the curve, so it is considered a negative area.Also Know, how do you know if a Riemann sum is overestimate or underestimate? If the graph is increasing on the interval, then the left-sum is an underestimate of the actual value and the right-sum is an overestimate. If the curve is decreasing then the right-sums are underestimates and the left-sums are overestimates. Accordingly, how do you integrate negative numbers? 1 Answer If ALL of the area within the interval exists above the x-axis yet below the curve then the result is positive . If ALL of the area within the interval exists below the x-axis yet above the curve then the result is negative . Can an area under a curve be negative?The area under a curve between two points can be found by doing a definite integral between the two points. Areas under the x-axis will come out negative and areas above the x-axis will be positive.
